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Multi-faceted particle pumps drive carbon sequestration in the ocean

Philip W. Boyd, Hervé Claustre, Marina Lévy, David Siegel, Thomas Weber

To cite this version:

Philip W. Boyd, Hervé Claustre, Marina Lévy, David Siegel, Thomas Weber. Multi-faceted particle pumps drive carbon sequestration in the ocean. Nature, Nature Publishing Group, 2019, 568 (7752), pp.327-335. �10.1038/s41586-019-1098-2�. �hal-02117441�

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Multi-faceted particle pumps drive carbon sequestration in the ocean 1

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Revised for Nature 10 January 2019 4

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Philip W. Boyd1 Hervé Claustre2, Marina Levy3, David A. Siegel4, Thomas Weber5 7

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1Institute for Marine and Antarctic Studies, University of Tasmania, Hobart, Tasmania, 9

Australia 10

2 Sorbonne Université & CNRS, Laboratoire d'Océanographie de Villefranche-sur-mer 11

(LOV), 06230 Villefranche-sur-Mer, France.

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3Sorbonne Université, LOCEAN-IPSL, CNRS/IRD/MNHN, 4 Place Jussieu, 75252 Paris 13

CEDEX 05, France.

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4Department of Geography & Earth Research Institute, University of California, Santa 15

Barbara, Santa Barbara, CA, 93106, USA, 16

5Department of Earth and Environmental Sciences, University of Rochester, Rochester, NY 17

14627 18

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Orchid # 20

Philip Boyd http://orcid.org/0000-0001-7850-1911 21

Hervé Claustre 0000-0001-6243-0258 22

Marina Levy 0000-0003-2961-608X 23

David Siegel https://orcid.org/0000-0003-1674-3055 24

Thomas Weber 0000-0002-4445-6742 25

26 27 28 29 30 31 32

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The ocean’s ability to sequester carbon out of contact with the atmosphere exerts an 34

important control on global climate. The biological pump drives carbon storage in the 35

deep ocean and is thought to function via gravitational settling of organic particles from 36

surface waters. However, the settling flux alone is often insufficient to balance 37

mesopelagic carbon budgets or meet the demands of subsurface biota. Here, we review 38

additional biological and physical mechanisms that inject suspended and sinking 39

particles to depth. Together, these “particle injection pumps” likely sequester as much 40

carbon as the gravitational pump, closing carbon budgets and motivating further 41

investigation of their environmental controls.

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Introduction 59

Open ocean waters store (sequester) carbon out of contact with the atmosphere on decadal to 60

millennial timescales, exerting a major control on global climate by regulating atmospheric 61

carbon dioxide partial pressure (pCO2)1. The magnitude of ocean carbon storage is governed 62

by two well-established mechanisms that maintain a surface-to-deep ocean gradient of 63

dissolved inorganic carbon (DIC) – the biological and the solubility pumps2,3. The solubility 64

pump delivers cold, dense, DIC-rich waters to depth mostly at high latitudes, whereas the 65

biological pump globally exports particulate organic carbon (POC) from surface waters. POC 66

export is largely attributed to the gravitational settling of a subset of the particle assemblage1,4 67

– a process we refer to as the “biological gravitational pump” (BGP).

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The BGP is the key link between upper ocean photosynthetic carbon fixation, the sustenance 69

of mid-water biota, and carbon storage in the oceans’ interior4,5, andis thought to account for 70

~90% of the vertical DIC gradient, while the solubility pump explains the remainder1. In the 71

absence of the BGP, models predict atmospheric pCO2 would be higher by nearly twofold6. 72

Contemporary and paleoceanographic observations both reveal that carbon sequestration by 73

the BGP is affected by environmental changes in light, temperature, stratification and nutrient 74

availability7,8, and can itself drive dramatic climate shifts such as glacial-interglacial cycles8. 75

Future climate projections suggest that the functioning of the BGP will be altered by ocean 76

global change7,9, potentially feeding back on anthropogenic climate warming10. As a 77

consequence, quantification of its functioning requires a reliable baseline of accurate 78

measurements.

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The underlying principles of the BGP are long established11: organic particles are continually 80

produced and recycled in sunlit surface waters, and a small fraction of these settle into the 81

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oceans’ interior. The strength of the BGP is often quantified as the rate of particle “export”

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from the euphotic zone, the surface mixed layer, or across an arbitrary horizon at 100m12. As 83

they sink, particles undergo myriad transformations, which lead to pronounced vertical 84

attenuation of the particle flux that is often described as a power law relationship, referred to 85

as the “Martin Curve”13. The efficiency of the BGP is defined here as the time that exported 86

carbon is kept sequestered from the atmosphere within the ocean’s interior. It is driven by the 87

depth scale of flux attenuation and pathways of ocean circulation that carry remineralized 88

carbon dioxide back to the surface14. Carbon is sequestered for timescales longer than a year 89

by particles that penetrate the permanent pycnocline (beneath the wintertime mixed layer) 90

and up to centuries by those that reach deep water masses (generally >1000m). Together, the 91

strength and efficiency of the BGP determine the total quantity of carbon sequestered 92

biologically in the ocean interior.

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Recently, analyses of global and regional ocean carbon budgets have identified conspicuous 94

imbalances (i.e., two to three-fold less storage) when BGP export fluxes are compared with 95

those derived from geochemical tracers15,16, highlighting the need to reassess the pathways 96

that contribute to carbon storage. Furthermore, rates of site-specific particle export appear to 97

be insufficient to meet the carbon demand of mid-water life (termed mesopelagic biota) by 98

two-to three-fold17-20, but in one study can be balanced using community respiration18. There 99

is considerable debate over the reasons for these carbon deficits, ranging from biases inherent 100

in observational technologies17,21 to the potential role of other carbon (dissolved and/or 101

particulate) delivery mechanisms to deep waters16,22,23. Traditionally, the biogeochemical 102

functioning of the BGP has been evaluated from quasi one-dimensional (1D) observations of 103

particle flux (Box 1), and extrapolated using Earth System Models (ESMs, parameterised 104

with observations24-26) and/or remote-sensing observations26. This approach cannot capture 105

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more complex mechanisms of carbon export that are highly variable in space and time (Box 106

1), potentially resulting in the reported carbon budget deficits.

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Multiple lines of research have revealed the importance of additional export pathways, 108

physically (e.g. subduction) and/or biologically (e.g. large mesopelagic migrators) -mediated, 109

that inject particles to depth, termed here Particle Injection Pumps (PIPs)23,27-30. These 110

mechanisms can potentially export all particle classes to depth, and thus challenge the 111

conventional view of gravitational sinking as the dominant downward pathway for particles 112

into the oceans’ interior. The characteristics of PIPs fundamentally change our understanding 113

of biological carbon sequestration: first, PIPs can animate particle transport spatially into 114

three dimensions (3D), in contrast with the BGP where the vertical dimension is predominant 115

(1D); second, global estimates of PIP carbon fluxes are significant relative to those for the 116

BGP27,28, and third, these mechanisms cannot be readily quantified using the traditional 117

toolbox applied to investigate the BGP (Box 1). Overall, the PIPs will increase the strength 118

of the biological pump beyond estimates based on gravitational flux alone, and can change its 119

efficiency by altering the depth of carbon export.

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The fate of exported carbon following its delivery to depth has also proven more complex 121

and heterogeneous than previously recognized. Particle flux attenuation is now known to vary 122

systematically in space14,31,32 and time33, suggesting the traditional empirical view13 must be 123

replaced by a mechanistic one that considers particle composition and architecture, microbial 124

metabolism, and transformation processes17. 125

Together, these developments stand to reshape our understanding of particle transport and 126

remineralisation in the oceans’ interior. Here, for open ocean systems we review: the 127

mechanisms, rates, and depths of particle injection by each PIP; the potential for each 128

mechanism to close observed deficits in ocean carbon budgets; and the corresponding 129

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remineralisation depths of exported POC in the deep ocean. We finish by outlining future 130

research directions needed to synthesize these developments into a new mechanistic, four- 131

dimensional (4D) view of carbon export and sequestration. The review does not detail the 132

important role of dissolved organic carbon subduction22,23, nor cover the dark microbial 133

carbon pump34 or chemolithotrophy35 which have been reviewed elsewhere (S-Table 1).

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Particle injection pump mechanisms 136

PIPs differ in their mechanisms, temporal-spatial scales (Fig. 1, Fig. 2a), and/or geographical 137

extent, but have common features: i) they can act on all particles from suspended to sinking 138

(Fig. 1); ii) they typically inject particles below the euphotic zone (i.e., the export depth for 139

the BGP), potentially reaching depths >1000m28-30 depending on the injection mechanism 140

(Fig. 1, Fig. 2b); iii) they occur concurrently with the BGP but cannot be measured with 141

techniques developed to quantify gravitational settling13,32 (Box 1); iv) their dynamic nature 142

(i.e., physical transport23,27,28 or patchiness of animal distributions30) means that the interplay 143

between their vertical and horizontal vectors and temporal scales varies significantly (Fig. 1).

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Hence, a 4D sampling framework is required to constrain them (Box 1). The main 145

characteristics of each PIP are elucidated below.

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Particle export driven by physical subduction includes several processes driving the vertical 147

transport of near-surface particles that act on different space/time scales: subduction caused 148

by mixed-layer shallowing (termed the mixed-layer pump29,36); subduction by large-scale 149

(100-1000 km) circulation (termed the large-scale subduction pump)23; and subduction by 150

mesoscale (10-100 km) to submesoscale (1-10 km) frontal circulation (termed the eddy- 151

subduction pump23,27,28).

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Carbon export by the mixed-layer pump is driven by biological accumulation of particles 153

throughout the spring/summer growth season, which are then diluted to the depth of the 154

mixed layer during winter, and left in the oceans’ interior during early spring stratification 155

(Box 1). This pump operates on wide-ranging time-scales from days/weeks37 to seasons29,37, 156

predominantly in mid and high latitude regions characterised by strong seasonal variability in 157

mixed-layer depth (Fig. 2a). Although these concepts are long-established36, only recently 158

have they been scrutinised in detail using advances in optical profiling (BGC-Argo) floats 159

and satellite particle proxies to track particle accumulation rates in relation to changes in 160

surface mixed-layer depth (Box 1).

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The large-scale subduction pump is a 3D advective mechanism directed from the seasonal 162

mixed-layer into the oceans’ interior, driven by Ekman pumping and horizontal circulation 163

across a sloping mixed-layer38. Subduction rates were first estimated for the North Atlantic39, 164

and then globally using data-assimilating models40. The wide-ranging subduction rates (1-100 165

m/year)39,40 are small relative to BGP particle settling rates11,12, but subduction occurs over 166

large regions of the global ocean boosting the magnitude of carbon delivery to depth.

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The frontal-associated eddy-subduction pump subducts particle-rich surface waters on 168

timescales of days and across spatial scales of 1-10 km, driven by strong vertical circulation 169

associated with fronts and eddies27,28,41-44

. Gliders are now used to map 3D dynamic eddying 170

flow fields (Box 1), finding evidence for penetration of high particle stocks (co-located POC 171

and chlorophyll indicative of viable phytoplankton) from the spring bloom, conspicuous as 172

distinct filaments at 100-350 m depth at the eddy periphery28 (Box 1). Mapping revealed the 173

co-location of high POC filaments and negative vorticity to depths near the permanent 174

pycnocline28, and the mechanism is supported by high-resolution simulations in which eddy 175

subduction of particles is a recurring feature45-48. The strength of the eddy-subduction pump 176

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is governed by the vigour and penetration of the vertical circulation, in conjunction with local 177

POC stocks over the frontal area27,49. Eddy subduction rates span 1-100 m d-1 (c.f. 20 to >

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100 m d-1 for the BGP11,12) depending on the eddy or frontal structure. Modelling indicates 179

that these subducted particles are remineralised more rapidly (i.e., at relatively shallow depths) 180

relative to gravitationally-sinking particles27. 181

The concept for the ‘mesopelagic migrant pump’ is based on long-established observations of 182

diurnal vertical migration50 (Box 1). This pump extends the remineralisation scale by 183

injecting particles to greater depth before decomposition begins51,52, as determined by gut 184

retention time of migrating animals51-53 and the depth of their migration (typically ~400 m53).

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The injected particles are zooplankton faecal pellets with sinking rates of 10-100’s m d-1 (ref.

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51), faster than loosely-packed organic aggregates settling from the surface11,12, and will 187

penetrate deeper in the water column before remineralisation. This pump therefore influences 188

all important facets of the particle flux that govern carbon sequestration – total export rate, 189

depth of peak flux, and flux attenuation depth scale.

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Diurnal vertical migration results in active subsurface transport and carbon sequestration, and 191

is usually reported for mesozooplankton and often included in BGP estimates51. However, 192

vertical migration by larger mesopelagic carnivorous organisms (from greater daytime depths 193

than mesozooplankton) are not sampled by conventional BGP approaches52,54. Targeted 194

studies (Box 1) have quantified this pump driven by large mesopelagic migrant carnivores in 195

the Pacific54, and other regions (S-Table 1). The underlying mechanism is upward migration 196

to graze mesozooplankton54 followed by rapid (hours) downward migration53, with 197

respiration (release of CO2), exudation, and defecation (release of POC/DOC)51,55 often 198

below the permanent pycnocline56, at depths up to 600m (Box 1).

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Trawl surveys suggest that ~50% of mesopelagic organisms migrate, ranging regionally 200

between 20-90% depending on temperature, turbidity and oxygen concentrations54,56. The 201

carbon sequestration rate by this pathway is governed by the metabolic transfer efficiency of 202

migrators, and particles are injected at their residence depth, often at the upper boundary of 203

oxygen minimum zones where their respiration intensifies oxygen depletion53. 204

Active transport by vertically-migrating metazoans can also occur on longer timescales (Box 205

1). For example, in high latitude regions the winter hibernation of copepods (members of the 206

mesozooplankton) at depths between 600-1400m gives rise to a so-called ‘seasonal lipid 207

pump30’: during hibernation, they catabolise carbon-rich lipids accumulated during summer in 208

upper layers and thereby shunt carbon (but not nitrogen and phosphorus) below the 209

permanent pycnocline30. The strength of the seasonal lipid pump is governed by copepod 210

abundance, size and temperature, which together control their respiration rate and help 211

explain the existence of carbon flux hotspots (i.e. patchiness)30. 212

Another vertical export mechanism that operates on seasonal migration timescales is 213

mortality at depth of hibernating zooplankton particularly in high latitude regions57,58, 214

sequestering carbon to depths >500 m depth. Global extrapolation of seasonal lipid pump 215

fluxes, along with the over-wintering mortality flux is problematic due to difficulties in 216

sampling and generalizing across distinct regional mechanisms30 (S-Table 1).

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The potential for double accounting 219

The export flux from the BGP is mediated by sinking particles, whereas PIPs can provide 220

additional pathways for all particle classes, from suspended to sinking, to exit the surface 221

ocean (Fig. 1). Thus, there is potential overlap between particles delivered from the surface 222

ocean to depth via the BGP and by injection from PIPs. Such overlap – termed here as 223

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‘double-accounting’ – may occur where particles associated with the BGP and a PIP are 224

difficult to distinguish and hence could be attributed to more than one pump (Fig. 1). At 225

depth, transformations such as aggregation alter particle characteristics, including size and 226

sinking rate, and hence particles injected by the PIPs can join the sinking flux usually 227

attributed the BGP (Fig. 1). A further factor that introduces overlap between the BGP and 228

PIPs results from the inclusion, for historical reasons59, of one component of the mesopelagic 229

migration pump (diurnal migration by mesozooplankton) into the 1D sampling framework of 230

the BGP, while other components (e.g. patchier diurnal migration by larger mesopelagic 231

carnivores5) are not. Hence double-accounting can confound our understanding of the 232

relative importance of PIPs to ocean carbon storage.

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Is it possible to tease apart these areas of overlap? Forty years study of the BGP has 234

uncovered a complex biogeochemical system with multiple drivers and distinguishing 235

characteristics11,60. This body of research helps to frame the differences and similarities 236

between particles delivered to depth by PIP’s and those settling via the BGP. Each PIP is 237

distinct with respect to its combination of injected particle type (suspended cells to faecal 238

pellets of large mesopelagic migrants), the timing and depth of injection (Fig. 2a-b), and 239

associated particle transformations (aggregation/disaggregation)11,12,61. Additionally, the 240

subsurface “fate” of particles (i.e. where they remineralize), which determines the longevity 241

of carbon sequestration, is driven by the complex interplay between these properties and 242

transformations12,60,61: Particle composition and architecture set their sinking speed, while 243

myriad processes that are biologically- (microbes/zooplankton) and physically-mediated 244

(fragmentation/ disaggregation)12,62-64 decompose and repackage them over depth (Fig. 1).

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Therefore, particle fate provides another avenue to distinguish the contributions of PIPs from 246

the BGP.

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To date, evidence on the subsurface fate of injected particles has been largely indirect27,28,49. 248

Surveys of eddy-subduction pumps suggest that injected particles may be remineralised at 249

depths <200 m, based on ammonium peaks49, time-series of biogeochemical gradients28, or 250

particle modelling studies27. In the NE Atlantic, reported high rates of particle 251

remineralisation (glider-based biogeochemical gradients) must be reconciled with concurrent 252

evidence of coincident, coherent chlorophyll plumes at depths >300 m indicative of 253

subducted viable phytoplankton28. This glider-based time-series reveals pronounced 254

patchiness28 suggesting that inference of the fate of injected particles even from state-of-the- 255

art observations is challenging.

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Better constraining the contribution of each PIP to mesopelagic carbon budgets will require 257

characterisation of the injected particle assemblage and their transformations during 258

downwards transport12,65-68. Particle aggregation in PIPs may be driven by 259

convergence/subduction69-70 and/or differential sinking65,67, potentially leading to altered 260

modes of subsurface transport (Fig. 1). BGC-Argo profile observations allow quantification 261

of the size, type, seasonal succession, and penetration depths of particles injected by the 262

mixed-layer pump36 – properties which have the potential to differentiate them from fast- 263

sinking particles (i.e., BGP) whose distinctive ‘spiky’ bio-optical signature is readily detected 264

using multiple sensors71 (S-Figs. 2 and 3). Advances in bio-optics are already making cryptic 265

signatures associated with slow-sinking particles and zooplankton vertical migration less 266

opaque, lessening the possibility of double-accounting. Such double-accounting may be 267

avoided through the identification of unique characteristics of pumps including seasonality 268

(Fig. 2a), distinctive regional features30, or multi-variate oceanographic diagnostics72. 269

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12 Carbon sequestration potential

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The potential carbon sequestration by each PIP can be quantified as the product of their 273

carbon injection rate and their sequestration timescale, i.e. time until remineralised carbon is 274

returned to the surface (see Supplementary Methods). This timescale is determined both by 275

the injection depth of particles and their eventual fate, i.e. the degree to which they sink or 276

circulate through the ocean before remineralising to CO2. In general, deeper particle injection 277

and rapid sinking translates to longer carbon sequestration because the “passage time” from 278

the ocean interior to the surface increases with depth (Fig. 2b). Here, we assemble prior 279

estimates of carbon injection rate and depth (S-Table 1), along with new modelling 280

projections (Fig. 2), to estimate carbon sequestration by each PIP and assess their 281

significance relative to the BGP.

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Some targeted studies provide concurrent estimates of carbon injection by individual PIPs 283

and the BGP27,28, whereas others30,54,57,58

facilitate comparison of regional-scale PIP fluxes 284

with independent estimates of the BGP. Both approaches reveal that PIPs each have the 285

potential to contribute significant rates of POC export. The reported upper bounds of global 286

PIP estimates summed together is 8.7 Pg C yr-1, which is comparable to the BGP export flux 287

(Table S1). This comprises 1.1-2.1 Pg C yr-1 for the large-scale/mesoscale physical pumps 288

(also includes DOC22,23), and 0.25-1.0, 0.9-3.6 and (-0.09) to 2.0 Pg C yr-1 from the lipid 289

seasonal, mesopelagic migration, and eddy-subduction pumps, respectively (Fig. 2c). Thus, 290

their cumulative contribution may be as much as ~40% of total particle export (i.e., 291

BGP+PIPs) suggesting considerable potential to resolve the imbalances reported for 292

mesopelagic carbon demand17, between nutrient and carbon export budgets15, and to lessen 293

the variability between model estimates of global carbon sequestration (S-Table 1).

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We estimated the sequestration timescales for each PIP based on the “passage time” from the 295

injection depth to the surface in an observationally-constrained ocean circulation model14. 296

Particles injected at the depth of the wintertime mixed-layer by the large-scale physical 297

pumps (mixed-layer and subduction) result in sequestration for 25-100 years, assuming 298

subduction occurs before re-entrainment next winter. In turn, deeper injection by the eddy 299

subduction pump (up to 450 m), mesopelagic migration pump (up to 600 m), and seasonal 300

lipid pump (up to 1400 m) translates to sequestration timescales up to 150, 250, and 500 301

years respectively (Fig. 2b). These timescales will increase if it is assumed that sinking rather 302

than suspended particles are injected, which remineralise deeper than the injection horizon 303

(see Supplementary Methods).

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Given the wide-ranging estimates of carbon injection rate (Fig. 2c) and depth (Fig. 2b) for 305

each PIP, oceanic carbon sequestration by these mechanisms cannot be estimated with 306

precision (Fig. 2d). However, choosing central values from the reported ranges of each 307

property allows a first order comparison between PIPs and the BGP. The mesopelagic 308

migration pump emerges as the most significant PIP, potentially storing ~60% as much 309

carbon as the BGP in the ocean interior if large, sinking particles (i.e. faecal pellets) are 310

injected. The C storage potential of the seasonal lipid, eddy-subduction and large subduction 311

pumps are ~20%, 10% and 5% of the BGP respectively, assuming each injects suspended 312

particles. The latter small net value is due to offsetting of subduction by strong obduction 313

(upward transport of water parcels) in the equatorial oceans39. Based on these central values 314

(Fig. 2d), it is likely that the reservoir of respired carbon in the ocean interior contributed by 315

the PIPs approaches that contributed by the BGP, and may therefore help to close global- 316

scale mesopelagic carbon budgets15,16. 317

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14 Tracer constraints on the fate of exported carbon 319

Oceanic carbon sequestration by the BGP and wide-ranging biophysical mechanisms that 320

inject biogenic particles to depth depends critically on the fate of exported carbon (Fig. 2).

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However, at present tracing the remineralisation of particles (regardless of their export 322

pathway) as they settle and circulate through the global ocean remains a logistical challenge, 323

due to the difficulties of deep-water particle sampling. Recently, new methods have used 3D 324

ocean data assimilation models to leverage geochemical “remineralisation tracers” including 325

oxygen and nutrients. These tracers integrate particle remineralisation signatures over long 326

timescales, and their global distributions are characterised by orders of magnitude more 327

observations than are available for particles16,31,73. Two distinct approaches have been applied.

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The first diagnoses remineralisation rates directly from phosphate accumulation along 329

transport pathways in a circulation model, and reconstructs particulate flux profiles required 330

to explain the global distribution of remineralised phosphate31. The second assimilates 331

geochemical and satellite data into mechanistic biogeochemical models to optimise key 332

particle flux parameters, yielding mechanistic insights while leveraging the observations less 333

directly73. 334

Both approaches have yielded similar results and provide evidence for regional variability in 335

particle flux attenuation, with the flux attenuating slowly at high latitudes and quickly in 336

subtropical gyres, while the tropics lie between these two extremes (Fig. 3a). These 337

simulations reveal that carbon exported from high latitude and tropical surface waters is 338

sequestered longer in the oceans’ interior than carbon exported in the oligotrophic gyres 339

(Figure 3b), with important implications for feedbacks between the particle export and global 340

climate. Atmospheric pCO2 is likely more sensitive to past changes in high latitude export 341

than previously recognised8, and the future expansion of subtropical habitats9 may result in 342

less efficient (although not currently quantifiable) carbon sequestration in a warming world.

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Regional variations in particle flux attenuation have largely been interpreted in terms of the 344

balance between decomposition and sinking rates32. A likely explanation for the diagnosed 345

latitudinal pattern is the temperature-dependent metabolism of heterotrophs responsible for 346

particle decomposition32,73, although variations in particle size and/or ballast are valid 347

alternatives73. There may also be a secondary effect of oxygen, with decomposition slowing 348

in anoxic zones73,74, and even hypoxic waters due to anaerobic microenvironment formation 349

in particles75. 350

To some degree, model-derived particle flux profiles may also reflect the relative magnitude 351

of different export pathways (PIPs and BGP), which vary in the injection depth and nature of 352

particles they supply, since geochemical tracers integrate the effects of all export mechanisms.

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Deep injection by PIPs would result in slower flux attenuation over depth, whereas injection 354

of suspended particles that remineralise shallower in the water column would be diagnosed as 355

rapid flux attenuation. Predicting future changes in ocean carbon sequestration will require a 356

better understanding of the contribution of injection versus remineralisation processes to 357

sequestration efficiency (Fig. 3b), given the different environmental sensitivity of these 358

processes.

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The need for prediction motivates development of new techniques to distinguish particle flux 360

associated with the BGP and each PIP. Particle stoichiometry (i.e., C:N:P) may be central to 361

identifying particular mechanisms that decouple their export. For example, diagnosing 362

oxygen consumption between 500-1500 m (depth of zooplankton hibernation) without 363

concomitant nutrient accumulation would point to carbon export by the seasonal lipid pump30. 364

Alternatively, diagnosing seasonal cycles of nutrient accumulation and oxygen consumption 365

rates would help distinguish remineralisation of particles exported by physical pumps versus 366

particle settling, which should exhibit distinct seasonality (Fig. 2a). This approach may soon 367

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be possible given the burgeoning spatial/temporal resolution of tracer data provided by BGC- 368

Argo floats (S-Figure 1), and emerging float sensor technology (S-Table 2).

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Extrapolation – towards a 4D view of particle export 371

Improving the accuracy of the initial estimates of the magnitude of carbon sequestration 372

presented in Figure 2d requires the development of a 4D picture of particle flux and storage 373

in the oceans’ interior. It is clear from our synthesis of PIP mechanisms that multiple scales, 374

from sub-mesoscale to basin, must be accommodated if PIPs are to be assembled, first 375

spatially and then temporally, into a complete 4D picture. Again, lessons on how to approach 376

such upscaling can be gleaned from BGP research which imprinted both spatial and seasonal 377

signatures (satellite remote-sensing/modelling)26 onto short-term (days-weeks) observations 378

taken at specific sites (Box 1). The timescales and lifetimes of features such as submesoscale 379

eddies/fronts or seasonal mesopelagic export signatures (Fig. 2a) must be characterized to 380

define the temporal footprint of each PIP and move towards a 4D viewpoint. This framework 381

must be linked to the seasonality of pelagic particle production to assess if there is distinctive 382

period for the subduction of significant stocks of these upper ocean particles (Fig. 2a). For 383

example, it is well-established that submesoscale dynamics are strongly seasonal, with 384

stronger and deeper penetration during winter than summer76. 385

Some published approaches towards extrapolating PIP’s globally, and to climatological time 386

scales, are outlined in S-Table 1. The identification of the specific drivers of each PIP 387

mechanism should help improve modelling and hence extrapolation. We advocate the utility 388

of explicitly incorporating the different PIP mechanisms into predictive, mechanistic models 389

as a means to extrapolate PIPs into 4D. In the case of the extrapolation of the submesoscale 390

eddy subduction PIP, increasing the model grid resolution to incorporate these features is 391

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necessary and is now achievable in regional configurations77,78. In contrast, other physically- 392

mediated PIPs such as the large-scale subduction and mixed-layer pumps are already 393

represented in global models, and so their extrapolation requires the development of 394

diagnostics to enable the simulated POC/DOC distributions to be better evaluated against 395

observations23. At present, the biologically-mediated PIPs are not incorporated into state-of- 396

the-art biogeochemical models9,14,31,77,78. While simulating animal behaviour at the global 397

scale remains a grand challenge in ocean modelling, simple parameterisations have been 398

developed to predict the geochemical effect of the mesopelagic migrant pump6, which might 399

be further expanded to incorporate hibernation and therefore the seasonal lipid pump. It is 400

only very recently that diel vertical migration has been incorporated for the first time in a 401

global ocean general circulation model and used to estimate the associated flux of carbon at 402

the global scale (see Aumont et al. in S-Table 1). Although promising, this approach remains 403

challenging because it is based on a computationally-intensive, end-to-end ecosystem model 404

in which all trophic levels from phytoplankton to top predators interact.

405

406

Transforming our view of ocean carbon export 407

Our synthesis of physically- and biologically-mediated PIPs reveals that they are directly 408

transporting significant stocks of biogenic particles to depth, of a cumulative magnitude that 409

may be equivalent to the carbon storage of the BGP. The potential of PIPs to make a major 410

contribution to the ocean carbon budget must now be explored in more detail, commencing 411

with those PIPs that are most likely to contribute to carbon sequestration. Synthesising 412

estimates of particle export, injection depth, and circulation timescales reveals that the 413

mesopelagic migrant pump has the greatest potential to contribute to carbon sequestration, 414

followed by the seasonal lipid pump and the various physical pumps (Fig. 2d). In the case of 415

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18

the seasonal lipid pump, its geographical realm of influence is already established30, whereas 416

less is known about the regional contributions of the mesopelagic migrant pump5. 417

For all PIPs, the most pressing research issue – needed to address double-accounting issues 418

and improve estimates of carbon sequestration – is to better understand the mechanisms of 419

particle transformations17,65-68 (Fig. 1) within a 4D framework. Specifically, the fate of 420

exported particles between their injection depth and the permanent pycnocline remains poorly 421

constrained. A first step will be improved particle characterisation, in particular the ability to 422

distinguish zooplankton from other particle types, and to aggregate Particle Size Distribution 423

(PSD) profiles through the development and application of new sensors (S-Table 2). Future 424

development of acoustic and imaging technologies79 must be deployed on a range of 425

platforms from ships (i.e., calibration) to an array of long-lived (i.e., years), geographically- 426

diverse BGC-Argo floats. These developments towards improving particle characterisation 427

will reduce the likelihood of double-accounting. Moreover, the alignment of BGC-Argo 428

deployments (Box 1) with the characteristic space and time scales of PIPs will enable better 429

quantification of the role of patchiness in driving observed local/regional hotspots in 430

biological PIPs30,54,56. In time, following the development and testing of a Coastal-Argo 431

platform, they can also be deployed to coastal and shelf seas to explore the role of PIPs in 432

these regions (S-Table 2).

433

The way forward in refining estimates of the contribution of PIPs in closing the ocean carbon 434

budget15-17 also requires leveraging advancements in ocean biogeochemical modelling.

435

Models are valuable testbeds to probe the sensitivity of carbon storage mechanisms, and 436

guide future observations. For example, model sensitivity analyses point to the pivotal role 437

of PSD in determining the fate of exported carbon31,73, but the processes that set the PSD of 438

exported particles and its evolution over depth remain crudely parameterized. Developing 439

robust models of particle transformations between multiple size classes, and incorporating 440

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19

them into general circulation models, will allow us to trace the fate of particles injected by 441

different PIPS and dissect their contribution to carbon sequestration, while avoiding double- 442

accounting issues.

443

Inverse methods that can assimilate PSD fields from new BGC-Argo technologies80 will 444

allow models to “learn” from the data, further refining them to best reflect the real ocean.

445

Furthermore, downscaling of physical models is essential to simulate the locations of PIP 446

injections in support of observational programmes such as high resolution altimetry81, and the 447

integration of detailed particle transformations into submesoscale models82. 448

To transform the comprehension of particle export from one- to three- and eventually four- 449

dimensions, machine learning approaches83 will need to be employed, which can be trained to 450

predict unknown variables such as particle flux from better sampled variables. Approaches 451

like artificial neural networks84, will enable and enhance the upscaling of local/regional 452

datasets needed to provide more robust extrapolation85,86 to depth, regionally, and annually of 453

each PIP. This upscaling is essential to refine estimates of the contribution of each PIP to 454

carbon sequestration. BGC-Argo datasets will also eventually be combined with new satellite 455

products such as hyperspectrally-resolved ocean colour observations of biology processes87 456

and submesoscale characterisation of sea level using high-resolution altimetry81. 457

Satellite and water-column remote-sensing, along with targeted process studies, will yield 458

expansive datasets that can be assimilated into regional and global models of ever increasing 459

realism and resolution. Together, these approaches will lead towards a robust, four- 460

dimensional view of carbon sequestration by the ocean’s multi-faceted bio-physical particle 461

pumps.

462

463 464

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20 Acknowledgements

465

The authors thank five anonymous reviewers for improving the manuscript. PWB was 466

primarily supported by the Australian Research Council through a Laureate (FL160100131), 467

and this research was also supported under Australian Research Council's Special Research 468

Initiative for Antarctic Gateway Partnership (Project ID SR140300001). HC acknowledges 469

the support of the European Research Council (remOcean project, grant agreement 246777) 470

and of the Climate Initiative of the BNP Paribas foundation (SOCLIM project). ML was 471

supported by CNES and by the ANR project SOBUMS (ANR-16-CE01-0014). DAS 472

acknowledges support from the National Aeronautics and Space Administration as part of the 473

EXport Processes in the global Ocean from RemoTe Sensing (EXPORTS) field campaign - 474

grant 80NSSC17K0692. TW was supported by NSF grant OCE-1635414. Co-authors, HC, 475

ML, DS and TW contributed equally to this Review.

476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498

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Figure 1 Interplay between particle characteristics, mode of export (BGP or PIP), delivery depth and larger scale ocean circulation for a range of pumps. In the upper panel, the box (top left) represents mixed-layer particle types, which either form large sinking particles (i.e., within the BGP, such as faecal pellets, marine snow) or are injected to depth (i.e., PIPs, suspended/ slow-settling heterogeneous particles and cells (i.e., including healthy, slow-sinking phytoplankton88)). The vertical yellow arrow signifies the BGP; black lines physically mediated PIPs; and purple lines biologically mediated PIPs. The delivery rates of particles to subsurface strata (in m d-1, ? denotes not known) are presented for each pump. Patchiness in the distribution of vertically-migrating animals (top right) plays a role in driving three-dimensional particle delivery to depth89,89, and is denoted by different fish or copepod stocks in the upper ocean. The box (middle left) presents different particle transformations central to the BGP12, but whose role is not known so far for PIPs. They include microbial solubilisation, aggregation (marine snow denoted by aggregation 1;

heterogeneous faecally-dominated aggregates (aggregation II) and/or dissaggregation18 to form/break down heterogeneous particles (hatched brown symbols). In the lower panel, depths in parentheses are the reported delivery depths, with the BGP (and some PIPs) exporting some particles to the sea floor. Blue curved arrows represent transport of subsurface material along downward-sloping isopycnals (white dashed lines). Major unknowns include whether physical transport by PIPs can cause particle aggregation (signified by ? in the middle panel below subduction pump, and also applicable for the mixed-layer pump) and hence alter their mode of injection towards gravitational settling (i.e., the BGP). Other unknowns include the potential ballasting role of small mineral particles such as aerosol dust for PIPs.

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